ON THE GEOMETRY OF RATIONAL BEZIER CURVES

被引：2

作者：

Ceylan, Ayse Yilmaz ^{[1
]}

Turhan, Tunahan ^{[2
]}

Tukel, Gozde Ozkan ^{[3
]}

机构：

[1] Akdeniz Univ, Dept Math, Antalya, Turkey

[2] Suleyman Demirel Univ, Dept Math & Sci Educ, Isparta, Turkey

[3] Isparta Univ Appl Sci, Isparta, Turkey

来源：

HONAM MATHEMATICAL JOURNAL | 2021年 / 43卷 / 01期

关键词：

Darboux frame field; Geodesic curvature; Rational Bezier curve; 2-sphere;

D O I：

10.5831/HMJ.2021.43.1.88

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to assign a movable frame to an arbitrary point of a rational Bezier curve on the 2-sphere S-2 in Euclidean 3-space R-3 to provide a better understanding of the geometry of the curve. Especially, we obtain the formula of geodesic curvature for a quadratic rational Bezier curve that allows a curve to be characterized on the surface. Moreover, we give some important results and relations for the Darboux frame and geodesic curvature of a such curve. Then, in specific case, given characterizations for the quadratic rational Bezier curve are illustrated on a unit 2-sphere.

引用

页码：88 / 99

页数：12

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